plot Math help » Geometry » airplane Geometry » square » Trapezoids » just how to uncover an edge in a trapezoid

Find the measure up of angle 

*
in the isosceles trapezoid pictured below.

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*


*


*


*


Explanation:

The sum of the angle in any type of quadrilateral is 360°, and the properties of an isosceles trapezoid dictate that the to adjust of angles adjoined by parallel currently (in this case, the bottom collection and top collection of angles) room equal. Subtracting 2(72°) native 360° provides the sum of the two peak angles, and also dividing the result 216° by 2 yields the measure of x, i m sorry is 108°.


Explanation:

As a rule, adjacent (non-paired) angles in a trapezoid are supplementary. Thus, we know that if 

*
, then 
*
. Since we room told that 
*
 and 
*
 are paired and trapezoid 
*
 is isosceles, 
*
 must also equal 
*
.


Explanation:

To discover the measure of edge DAC, we must know that the interior angles of all triangles amount up come 180 degrees. Also, as this is one isosceles trapezoid,

*
 and
*
 are equal to every other. The 2 diagonals within the trapezoid bisect angle
*
 and 
*
 at the exact same angle.

Thus,

*
 must likewise be same to 50 degrees.

Thus,

*
.

Now the we recognize two angle out that the 3 in the triangle top top the left, we have the right to subtract them from 180 levels to uncover

*
:

*


Explanation:

All quadrilaterals" internal angles sum to 360°. In isosceles trapezoids, the two peak angles space equal to each other.

Similarly, the 2 bottom angles space equal come each other as well.

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Therefore, to discover the amount of the 2 bottom angles, we subtract the steps of the optimal two angle from 360:

*


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